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Finding the Third Proportional to 187,874 and 391,258

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Solution

The third proportional to 187,874 and 391,258 is: 814,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,874 : 391,258 = 391,258 : x
  2. Step 2: Convert to fraction form
    187,874/391,258 = 391,258/x
  3. Step 3: Cross multiply
    187,874x = 391,258 × 391,258
  4. Step 4: Simplify right side
    187,874x = 153,082,822,564
  5. Step 5: Solve for x
    x = 153,082,822,564/187,874
  6. Step 6: Final answer
    x = 814,816.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.